Decimal 252 in binary conversion provides the detailed information on what is the binary equivalent of (252)10, and the step-by-step work for how to convert the decimal (base-10) number 252 to its binary (base-2) equivalent.

__(252)10 in binary is equal to:__

(252)_{10} = (?)_{2}

Perform successive MOD-2 operation for decimal 252, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

252 MOD-2 | 252 / 2 = 126 | Remainder is 0 → LSB |

126 MOD-2 | 126 / 2 = 63 | Remainder is 0 |

63 MOD-2 | 63 / 2 = 31 | Remainder is 1 |

31 MOD-2 | 31 / 2 = 15 | Remainder is 1 |

15 MOD-2 | 15 / 2 = 7 | Remainder is 1 |

7 MOD-2 | 7 / 2 = 3 | Remainder is 1 |

3 MOD-2 | 3 / 2 = 1 | Remainder is 1 |

1 MOD-2 | 1 / 2 = 0 | Remainder is 1 → MSB |

252

Hence,

252

10 in 252

11111100

2 in 11111100

The below are some of the important notes to be remembered while converting the base-10 number 252 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 252 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 252 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 252 should be written from MSB to LSB to form the binary equivalent for the given decimal number (252)10.